diff options
Diffstat (limited to 'source/luametatex/source/libraries/softposit/source/c_convertDecToPositX1.c')
-rw-r--r-- | source/luametatex/source/libraries/softposit/source/c_convertDecToPositX1.c | 461 |
1 files changed, 461 insertions, 0 deletions
diff --git a/source/luametatex/source/libraries/softposit/source/c_convertDecToPositX1.c b/source/luametatex/source/libraries/softposit/source/c_convertDecToPositX1.c new file mode 100644 index 000000000..62550f141 --- /dev/null +++ b/source/luametatex/source/libraries/softposit/source/c_convertDecToPositX1.c @@ -0,0 +1,461 @@ +/*============================================================================ + +This C source file is part of the SoftPosit Posit Arithmetic Package +by S. H. Leong (Cerlane). + +Copyright 2017, 2018 A*STAR. All rights reserved. + +Redistribution and use in source and binary forms, with or without +modification, are permitted provided that the following conditions are met: + + 1. Redistributions of source code must retain the above copyright notice, + this list of conditions, and the following disclaimer. + + 2. Redistributions in binary form must reproduce the above copyright notice, + this list of conditions, and the following disclaimer in the documentation + and/or other materials provided with the distribution. + + 3. Neither the name of the University nor the names of its contributors may + be used to endorse or promote products derived from this software without + specific prior written permission. + +THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY +EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED +WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE +DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY +DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES +(INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; +LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND +ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT +(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + +=============================================================================*/ + +#include <math.h> + +#ifdef SOFTPOSIT_QUAD +#include <quadmath.h> +#endif + +#include "platform.h" +#include "internals.h" + +#ifdef SOFTPOSIT_QUAD + +void checkQuadExtraPX1TwoBits(__float128 f32, __float128 temp, bool * bitsNPlusOne, bool * bitsMore ){ + temp /= 2; + if (temp<=f32){ + *bitsNPlusOne = 1; + f32-=temp; + } + if (f32>0) + *bitsMore = 1; +} + +uint_fast32_t convertQuadFractionPX1(__float128 f32, uint_fast16_t fracLength, bool * bitNPlusOne, bool * bitsMore ){ + + uint_fast32_t frac=0; + + if(f32==0) return 0; + else if(f32==INFINITY) return 0x80000000; + + f32 -= 1; //remove hidden bit + if (fracLength==0) + checkQuadExtraPX1TwoBits(f32, 1.0, bitNPlusOne, bitsMore); + else{ + __float128 temp = 1; + while (true){ + temp /= 2; + if (temp<=f32){ + + f32-=temp; + + fracLength--; + frac = (frac<<1) + 1; //shift in one + + if (f32==0){ + frac <<= (uint_fast32_t)fracLength; + break; + } + + if (fracLength == 0){ + checkQuadExtraPX1TwoBits(f32, temp, bitNPlusOne, bitsMore); + break; + } + } + else{ + frac <<= 1; //shift in a zero + fracLength--; + if (fracLength == 0){ + checkQuadExtraPX1TwoBits(f32, temp, bitNPlusOne, bitsMore); + break; + } + } + + } + } + + return frac; +} + +posit_1_t convertQuadToPX1(__float128 f32, int x){ + + union ui32_pX1 uZ; + bool sign, regS; + uint_fast32_t reg, frac=0; + int_fast32_t exp=0; + bool bitNPlusOne=0, bitsMore=0; + + (f32>=0) ? (sign=0) : (sign=1); + + if (f32 == 0 ){ + uZ.ui = 0; + return uZ.p; + } + else if(f32 == INFINITY || f32 == -INFINITY || f32 == NAN){ + uZ.ui = 0x80000000; + return uZ.p; + } + else if (f32 == 1) { + uZ.ui = 0x40000000; + return uZ.p; + } + else if (f32 == -1){ + uZ.ui = 0xC0000000; + return uZ.p; + } + else if (f32>1 || f32<-1){ + if (sign){ + //Make negative numbers positive for easier computation + f32 = -f32; + } + + regS = 1; + reg = 1; //because k = m-1; so need to add back 1 + // minpos + if (x==32 && f32 <= 8.673617379884035e-19){ + uZ.ui = 1; + } + else{ + //regime + while (f32>=4){ + f32 *=0.25; // f32/=4; + reg++; + } + if (f32>=2){ + f32*=0.5; + exp++; + } + + int fracLength = x-3-reg; + if (fracLength<0){ + if (reg==x-2){ + bitNPlusOne=exp; + exp=0; + } + if(f32>1) bitsMore=1; + } + else + frac = convertQuadFractionPX1 (f32, fracLength, &bitNPlusOne, &bitsMore); + + if (reg==30 && frac>0){ + bitsMore = 1; + frac = 0; + } + + if (reg>(x-2) ){ + uZ.ui=(regS) ? (0x7FFFFFFF & ((int32_t)0x80000000>>(x-1)) ): (0x1 << (32-x)); + } + //rounding off fraction bits + else{ + + uint_fast32_t regime = 1; + if (regS) regime = ( (1<<reg)-1 ) <<1; + uZ.ui = ((uint32_t) (regime) << (30-reg)) + ((uint32_t) (exp)<< (29-reg)) + ((uint32_t)(frac<<(32-x))); + //uZ.ui = ((uint32_t) (regime) << (30-reg)) + ((uint32_t) exp ) + ((uint32_t)(frac<<(32-x))); + //minpos + if (uZ.ui==0 && frac>0){ + uZ.ui = 0x1 << (32-x); + } + if (bitNPlusOne) + uZ.ui += ( ((uZ.ui>>(32-x)) & 0x1) | bitsMore ) << (32-x); + } + if (sign) uZ.ui = -uZ.ui & 0xFFFFFFFF; + + } + } + else if (f32 < 1 || f32 > -1 ){ + if (sign){ + //Make negative numbers positive for easier computation + f32 = -f32; + } + regS = 0; + reg = 0; + + //regime + while (f32<1){ + f32 *= 4; + reg++; + } + + if (f32>=2){ + f32*=0.5; + exp++; + } + + + int fracLength = x-3-reg; + if (fracLength<0){ + if (reg==x-2){ + bitNPlusOne=exp; + exp=0; + } + if(f32>1) bitsMore=1; + } + else + frac = convertQuadFractionPX1 (f32, fracLength, &bitNPlusOne, &bitsMore); + + if (reg==30 && frac>0){ + bitsMore = 1; + frac = 0; + } + + if (reg>(x-2) ){ + uZ.ui=(regS) ? (0x7FFFFFFF & ((int32_t)0x80000000>>(x-1)) ): (0x1 << (32-x)); + } + //rounding off fraction bits + else{ + + uint_fast32_t regime = 1; + if (regS) regime = ( (1<<reg)-1 ) <<1; + uZ.ui = ((uint32_t) (regime) << (30-reg)) + ((uint32_t) (exp)<< (29-reg)) + ((uint32_t)(frac<<(32-x))); + //uZ.ui = ((uint32_t) (regime) << (30-reg)) + ((uint32_t) exp ) + ((uint32_t)(frac<<(32-x))); + //minpos + if (uZ.ui==0 && frac>0){ + uZ.ui = 0x1 << (32-x); + } + if (bitNPlusOne) + uZ.ui += ( ((uZ.ui>>(32-x)) & 0x1) | bitsMore ) << (32-x); + } + if (sign) uZ.ui = -uZ.ui & 0xFFFFFFFF; + + } + else { + //NaR - for NaN, INF and all other combinations + uZ.ui = 0x80000000; + } + return uZ.p; +} + +#endif + +void checkExtraPX1TwoBits(double f32, double temp, bool * bitsNPlusOne, bool * bitsMore ){ + temp /= 2; + if (temp<=f32){ + *bitsNPlusOne = 1; + f32-=temp; + } + if (f32>0) + *bitsMore = 1; +} +uint_fast32_t convertFractionPX1(double f32, uint_fast16_t fracLength, bool * bitsNPlusOne, bool * bitsMore ){ + + uint_fast32_t frac=0; + + if(f32==0) return 0; + else if(f32==INFINITY) return 0x80000000; + + f32 -= 1; //remove hidden bit + if (fracLength==0) + checkExtraPX1TwoBits(f32, 1.0, bitsNPlusOne, bitsMore); + else{ + double temp = 1; + while (true){ + temp /= 2; + if (temp<=f32){ + f32-=temp; + fracLength--; + frac = (frac<<1) + 1; //shift in one + if (f32==0){ + frac <<= (uint_fast16_t)fracLength; + break; + } + + if (fracLength == 0){ + checkExtraPX1TwoBits(f32, temp, bitsNPlusOne, bitsMore); + break; + } + } + else{ + + frac <<= 1; //shift in a zero + fracLength--; + if (fracLength == 0){ + checkExtraPX1TwoBits(f32, temp, bitsNPlusOne, bitsMore); + break; + } + } + } + } + + return frac; +} + + +posit_1_t convertDoubleToPX1(double f32, int x){ + + union ui32_pX1 uZ; + bool sign, regS; + uint_fast32_t reg, frac=0; + int_fast32_t exp=0; + bool bitNPlusOne=0, bitsMore=0; + + (f32>=0) ? (sign=0) : (sign=1); + + if (f32 == 0 ){ + uZ.ui = 0; + return uZ.p; + } + else if(f32 == INFINITY || f32 == -INFINITY || f32 == NAN){ + uZ.ui = 0x80000000; + return uZ.p; + } + else if (f32 == 1) { + uZ.ui = 0x40000000; + return uZ.p; + } + else if (f32 == -1){ + uZ.ui = 0xC0000000; + return uZ.p; + } + else if (f32>1 || f32<-1){ + if (sign){ + //Make negative numbers positive for easier computation + f32 = -f32; + } + regS = 1; + reg = 1; //because k = m-1; so need to add back 1 + // minpos + if (x==32 && f32 <= 8.673617379884035e-19){ + uZ.ui = 1; + } + else{ + //regime + while (f32>=4){ + f32 *=0.25; // f32/=4; + reg++; + } + if (f32>=2){ + f32*=0.5; + exp++; + } +//printf("reg: %d, exp: %d f32: %.26lf\n", reg, exp, f32); + int fracLength = x-3-reg; + if (fracLength<0){ + if (reg==x-2){ + bitNPlusOne=exp; + exp=0; + } + if(f32>1) bitsMore=1; + } + else + frac = convertFractionPX1(f32, fracLength, &bitNPlusOne, &bitsMore); + + if (reg==30 && frac>0){ + bitsMore = 1; + frac = 0; + } + + if (reg>(x-2) ){ + uZ.ui=(regS) ? (0x7FFFFFFF & ((int32_t)0x80000000>>(x-1)) ): (0x1 << (32-x)); + } + //rounding off fraction bits + else{ + + uint_fast32_t regime = 1; + if (regS) regime = ( (1<<reg)-1 ) <<1; +//printf("reg: %d, exp: %d bitNPlusOne: %d bitsMore: %d\n", reg, exp, bitNPlusOne, bitsMore); +//printBinary(®ime, 32); + uZ.ui = ((uint32_t) (regime) << (30-reg)) + ((uint32_t) (exp)<< (29-reg)) + ((uint32_t)(frac<<(32-x))); + //uZ.ui = ((uint32_t) (regime) << (30-reg)) + ((uint32_t) exp ) + ((uint32_t)(frac<<(32-x))); + //minpos + if (uZ.ui==0 && frac>0){ + uZ.ui = 0x1 << (32-x); + } +//printBinary(&uZ.ui, 32); +//uint32_t tt = (uZ.ui>>(32-x)); +//printBinary(&tt, 32); + if (bitNPlusOne) + uZ.ui += ( ((uZ.ui>>(32-x)) & 0x1) | bitsMore ) << (32-x); + } + if (sign) uZ.ui = -uZ.ui & 0xFFFFFFFF; + + } + } + else if (f32 < 1 || f32 > -1 ){ + if (sign){ + //Make negative numbers positive for easier computation + f32 = -f32; + } + regS = 0; + reg = 0; + + //regime + while (f32<1){ + f32 *= 4; + reg++; + } + + if (f32>=2){ + f32*=0.5; + exp++; + } + + int fracLength = x-3-reg; + if (fracLength<0){ + if (reg==x-2){ + bitNPlusOne=exp; + exp=0; + } + + if(f32>1) bitsMore=1; + } + else + frac = convertFractionPX1 (f32, fracLength, &bitNPlusOne, &bitsMore); + + if (reg==30 && frac>0){ + bitsMore = 1; + frac = 0; + } + + if (reg>(x-2) ){ + uZ.ui=(regS) ? (0x7FFFFFFF & ((int32_t)0x80000000>>(x-1)) ): (0x1 << (32-x)); + } + //rounding off fraction bits + else{ + uint_fast32_t regime = 1; + if (regS) regime = ( (1<<reg)-1 ) <<1; + uZ.ui = ((uint32_t) (regime) << (30-reg)) + ((uint32_t) (exp)<< (29-reg)) + ((uint32_t)(frac<<(32-x))); + //uZ.ui = ((uint32_t) (regime) << (30-reg)) + ((uint32_t) exp ) + ((uint32_t)(frac<<(32-x))); + //minpos + if (uZ.ui==0 && frac>0){ + uZ.ui = 0x1 << (32-x); + } + if (bitNPlusOne) + uZ.ui += ( ((uZ.ui>>(32-x)) & 0x1) | bitsMore ) << (32-x); + } + if (sign) uZ.ui = -uZ.ui & 0xFFFFFFFF; + + } + else { + //NaR - for NaN, INF and all other combinations + uZ.ui = 0x80000000; + } + return uZ.p; +} + + + + + |